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Finding the Fourth Proportional to 5,966.64, 8,951.04 and 2,072.16

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Solution

The fourth proportional to 5,966.64, 8,951.04 and 2,072.16 is: 3,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.64 : 8,951.04 = 2,072.16 : x
  2. Step 2: Convert to fraction form
    5,966.64/8,951.04 = 2,072.16/x
  3. Step 3: Cross multiply
    5,966.64x = 8,951.04 × 2,072.16
  4. Step 4: Simplify right side
    5,966.64x = 18,547,987.05
  5. Step 5: Solve for x
    x = 18,547,987.05/5,966.64
  6. Step 6: Final answer
    x = 3,108.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.